Difference between revisions of "2019 AMC 8 Problems"
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== Problem 10 == | == Problem 10 == | ||
== Problem 11 == | == Problem 11 == | ||
+ | The eighth grade class at Lincoln Middle School has <math>93</math> students. Each student takes a math class or a foreign language class or both. There are <math>70</math> eigth graders taking a math class, and there are <math>54</math> eight graders taking a foreign language class. How many eigth graders take <math>\textit{only}</math> a math class and <math>\textit{not}</math> a foreign language class? | ||
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+ | <math>\textbf{(A) }16\qquad\textbf{(B) }23\qquad\textbf{(C) }31\qquad\textbf{(D) }39\qquad\textbf{(E) }70</math> | ||
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+ | [[2019 AMC 8 Problems/Problem 11|Solution]] | ||
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== Problem 12 == | == Problem 12 == | ||
== Problem 13 == | == Problem 13 == |
Revision as of 13:46, 20 November 2019
Contents
- 1 Problem 1
- 2 Problem 2
- 3 Problem 3
- 4 Problem 4
- 5 Problem 5
- 6 Problem 6
- 7 Problem 7
- 8 Problem 8
- 9 Problem 9
- 10 Problem 10
- 11 Problem 11
- 12 Problem 12
- 13 Problem 13
- 14 Problem 14
- 15 Problem 15
- 16 Problem 16
- 17 Problem 17
- 18 Problem 18
- 19 Problem 19
- 20 Problem 20
- 21 Problem 21
- 22 Problem 22
- 23 Problem 23
- 24 Problem 24
- 25 Problem 25
Problem 1
Ike and Mike go into a sandwich shop with a total of to spend. Sandwiches cost
each and soft drinks cost
each. Ike and Mike plan to buy as many sandwiches as they can and use the remaining money to buy soft drinks. Counting both soft drinks and sandwiches, how many items will they buy?
Problem 2
Three identical rectangles are put together to form rectangle , as shown in the figure below. Given that the length of the shorter side of each of the smaller rectangles is
feet, what is the area in square feet of rectangle
?
(A) 45 (B) 75 (C) 100 (D) 125 (E) 150
Problem 3
3. Which of the following is the correct order of the fractions ,
, and
, from least to greatest?
Problem 4
Quadrilateral is a rhombus with perimeter
meters. The length of diagonal
is
meters. What is the area in square meters of rhombus
?
Problem 5
Problem 6
There are grid points (uniformly spaced) in the square shown in the diagram below, including the points on the edges. Point
is in the center of the square. Given that point
is randomly chosen among the other 80 points, what is the probability that the line
is a line of symmetry for the square?
Problem 7
Shauna takes five tests, each worth a maximum of points. Her scores on the first three tests are
,
, and
. In order to average
for all five tests, what is the lowest score she could earn on one of the other two tests?
Problem 8
Gilda has a bag of marbles. She gives 20% of them to her friend Pedro. Then Gilda gives 10% of what is left to another friend, Ebony. Finally, Gilda gives 25% of what is now left in the bag to her brother Jimmy. What percentage of her original bag of marbles does Gilda have left for herself?
Problem 9
Alex and Felicia each have cats as pets. Alex buys cat food in cylindrical cans that are cm in diameter and
cm high. Felicia buys cat food in cylindrical cans that are
cm in diameter and
cm high. What is the ratio of the volume one of Alex's cans to the volume one of Felicia's cans?
Problem 10
Problem 11
The eighth grade class at Lincoln Middle School has students. Each student takes a math class or a foreign language class or both. There are
eigth graders taking a math class, and there are
eight graders taking a foreign language class. How many eigth graders take
a math class and
a foreign language class?
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Alice has apples. In how many ways can she share them with Becky and Chris so that each of the people has at least
apples?
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.